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1. Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces

Author

Mariusz T. Grabiec, Reza Saadati, and Yeol Je Cho

Subjects
Families generated by PpqM-spaces, Quasi-pseudo-Menger space, Probabilistic quasi-pseudo-metric spaces (PpqM-space), Statistical quasi-metric space (SpqM-space), Mathematics, QA1-939
Abstract

This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson (1931) , Albert (1941) and Kelly (1963)) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric space (PM-space shortly) [2, 3, 4, 6]. The idea of PM-spaces was introduced by Menger (1942, 1951), Schweizer and Sklar (1983) and Serstnev (1965). Families of pseudo-metrics generated by PM-spaces and those generalizing PM-spaces have been described by Stevens (1968) and Nishiure (1970).

Published
2008

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